Question

Resolva as seguintes equações do 1° grau:

a) 4x - 1 = 3. (x - 1)

b) 3. (x - 2) = 2x - 4

c) 4. (x - 1) - 7 = 15

d) 5. (x - 2) = 4. (3 - x)

e) 3. (3x - 1) = 2. (3x + 2)

Answer 1

a)
4x - 1 = 3(x - 1)
4x - 1 = 3x - 3
4x - 3x = - 3 + 1
x = - 2

b)
3(x - 2) = 2x - 4
3x - 6 = 2x - 4
3x - 2x = - 4 + 6
x = 2

c)
4(x - 1) - 7 = 15
4x - 4 - 7 = 15
4x = 15 + 11
4x = 26
x = 26/4 (Simplifica por 2)
x = 13/2

d)
5(x - 2) = 4(3 - x)
5x - 10 = 12 - 4x
5x - 4x = 12 + 10
x = 22

e)
3(3x - 1) = 2(3x + 2)
9x - 3 = 6x + 4
9x - 6x = 4 + 3
3x = 7
x = 7/3